506581230240 has 144 divisors (see below), whose sum is σ = 1803869803008. Its totient is φ = 129214914048.

The previous prime is 506581230229. The next prime is 506581230251. The reversal of 506581230240 is 42032185605.

506581230240 is a `hidden beast` number, since 5 + 0 + 6 + 581 + 2 + 30 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (506581230229) and next prime (506581230251).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 506581230195 and 506581230204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7614544 + ... + 7680783.

It is an arithmetic number, because the mean of its divisors is an integer number (12526873632).

Almost surely, 2^506581230240 is an apocalyptic number.

It is an amenable number.

506581230240 is an abundant number, since it is smaller than the sum of its proper divisors (1297288572768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506581230240 is a wasteful number, since it uses less digits than its factorization.

506581230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15295371 (or 15295360 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 506581230240 in words is "five hundred six billion, five hundred eighty-one million, two hundred thirty thousand, two hundred forty".